Self-adjoint operators on surfaces with singular metrics

DOI10.1007/s10883-010-9096-6zbMath1203.53020OpenAlexW2145005922MaRDI QIDQ619280

Farid Tari, Shyuichi Izumiya

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/46760

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear symmetric and selfadjoint operators (unbounded) (47B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• Folding maps on spacelike and timelike surfaces and duality
• Two parameter families of binary differential equations
• Self-adjoint operators on surfaces in \(\mathbb R^n\)
• Time-like hypersurfaces in de Sitter space and Legendrian singularities
• Singularities of \(\mathbb{R} P^2\)-valued Gauss maps of surfaces in Minkowski 3-space
• Locally stable singularities for positive quadratic differential forms
• Harmonic mean curvature lines on surfaces immersed in \(\mathbb{R}^3\)
• Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
• On pairs of geometric foliations on a cross-cap
• Duality and implicit differential equations
• On binary differential equations
• On binary differential equations and umbilics
• Dupin indicatrices and families of curve congruences
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